8 citations · 12 across the 7 of their papers we have counts for
12 papers
Three-orbifolds, positive scalar curvature and fundamental group
Laurent Bessières, Sylvain Maillot, Ilaria Mondello +1
We show that closed Riemannian 3-orbifolds with positive scalar curvature have virtually free fundamental group. We also build a family of closed 3-orbifolds with free fundamental…
Strong Kato limit can be branching
Gilles Carron, Ilaria Mondello, David Tewodrose
We provide an example of a non-collapsed strong Kato limit that is branching, essentially branching, and satisfies neither the nor the c…
Gromov-Hausdorff stability of tori under Ricci and integral scalar curvature bounds
Shouhei Honda, Christian Ketterer, Ilaria Mondello +2
We establish a nonlinear analogue of a splitting map into a Euclidean space, as a harmonic map into a flat torus. We prove that the existence of such a map implies Gromov-Hausdorff…
Kato meets Bakry-Émery
Gilles Carron, Ilaria Mondello, David Tewodrose
We prove that any complete Riemannian manifold with negative part of the Ricci curvature in a suitable Dynkin class is bi-Lipschitz equivalent to a finite-dimensional $\mathrm{RCD}…
Torus stability under Kato bounds on the Ricci curvature
Gilles Carron, Ilaria Mondello, David Tewodrose
We show two stability results for a closed Riemannian manifold whose Ricci curvature is small in the Kato sense and whose first Betti number is equal to the dimension. The first on…
Limits of manifolds with a Kato bound on the Ricci curvature. II
Gilles Carron, Ilaria Mondello, David Tewodrose
We prove that metric measure spaces obtained as limits of closed Riemannian manifolds with Ricci curvature satisfying a uniform Kato bound are rectifiable. In the case of a non-col…
An upper bound on the revised first Betti number and a torus stability result for RCD spaces
Ilaria Mondello, Andrea Mondino, Raquel Perales
We prove an upper bound on the rank of the abelianised revised fundamental group (called "revised first Betti number") of a compact space, in the same spirit of the…
Limits of manifolds with a Kato bound on the Ricci curvature
Gilles Carron, Ilaria Mondello, David Tewodrose
We study the structure of Gromov-Hausdorff limits of sequences of Riemannian manifolds whose Ricci curvature satisfies a uniform Kato bound. We first obt…
Non-existence of Yamabe minimizers on singular spheres
Kazuo Akutagawa, Ilaria Mondello
We prove that a minimizer of the Yamabe functional does not exist for a sphere of dimension , endowed with a standard edge-cone spherical metric of cone an…
Stratified spaces and synthetic Ricci curvature bounds
J. Bertrand, C Ketterer, Ilaria Mondello +1
We prove that a compact stratied space satises the Riemannian curvature-dimension condition RCD(K, N) if and only if its Ricci tensor is bounded below by K R on the regular s…
An Obata singular theorem for stratified spaces
Ilaria Mondello
Consider a stratified space with a positive Ricci lower bound on the regular set and no cone angle larger than 2. For such stratified space we know that the first non-zero eigen…
The Local Yamabe Constant of Einstein Stratified Spaces
Ilaria Mondello
On a compact stratified space (X, g) there exists a metric of constant scalar curvature in the conformal class of g, if the scalar curvature satisfies an integrability condition an…